Week |
Section |
Topic |
Lecture |
HW Assignment |
1
|
1.1 |
Some Basic Models; Direction Fields |
1 |
8, 10, 11, 17, 18, 23 |
1.3 |
Classification of Differential Equations |
2 |
1, 2, 5, 6, 8, 11 |
2
|
2.1 |
Linear Equations; Integrating Factors |
3 |
6(c), 9(c), 17, 19, 22(b, c) |
2.2 |
Separable Equations |
4 |
3, 6, 8, 9, 12, 16 |
2.3 |
Modeling with First Order Equations |
5 |
2, 4, 7, 9 |
3
|
2.3 |
Modeling, Continued |
6 |
16, 18(a) |
2.7 |
Numerical Approximation; |
7 |
2 |
|
Euler’s Method |
|
|
3.1 |
Homogeneous Equations with |
8 |
3, 6, 8, 10, 13, 17, |
|
Constant Coefficients |
|
20, 22, 23 |
4
|
3.2 |
Solutions of Linear Homogeneous Equations; the Wronskian |
9 |
2, 5, 6, 8, 12, 18 |
|
Review for Exam 1 |
10 |
|
|
Common Exam 1, Wednesday, February 14, 2018 |
3.2 |
The Wronskian, Continued |
11 |
22, 24, 25, 26, 31 |
5
|
3.3 |
Complex Roots of the Characteristic Equation |
12 |
2, 3, 5, 7, 11, 17, 21, 27 |
3.4 |
Repeated Roots; Reduction of Order |
13 |
1, 6, 9, 11, 14, 16, 26, 28, 30 |
3.5 |
Nonhomogeneous Equations; |
14 |
3, 5, 9, 11, 17, 19, |
|
Undetermined Coefficients |
|
|
6 |
3.5 |
Undetermined Coefficients, Continued |
15 |
22(a), 23(a), 25(a), 28(a) |
3.6 |
Variation of Parameters |
16 |
3, 7, 8, 9, 12, 13, 15, 19 |
3.7 |
Mechanical and Electrical |
17 |
2, 3, 5, 7, 11, 12, |
|
Vibrations |
|
|
7 |
3.7 |
Vibrations, Continued |
18 |
14, 16, 17, 18, 20 |
3.8 |
Forced Vibrations |
19 |
2, 6, 9, 12 |
5.1 |
Review of Power Series |
20 |
18, 20, 21, 23 |
8 |
5.2 |
Series Solutions of Second Order Linear ODEs with Non-Constant Coefficients; Solution Near an Ordinary Point |
21 |
2(a, b), 4(a, b) |
|
Review for Exam 2 |
22 |
|
|
Common Exam 2, Wednesday, March 7, 2018 |
5.2 |
Series Solutions Near an Ordinary Point, Continued |
23 |
7(a, b), 12(a, b) |
Spring Recess: Sunday, March 11 to Sunday, March 18, 2018
|
9 |
5.4 |
Euler’s Equation; Regular Singular Points |
24 |
1, 3, 4, 8, 17, 20, 22 |
6.1
& 6.2 |
Definition of the Laplace Transform
& Solution of Initial Value Problems |
25 |
6.1: 3, 4, 6, 9, 13, 15, 21, |
6.2 |
Initial Value Problems, Continued |
26 |
6.2; 1, 2, 3, 5, 7, 8, 13, |
10 |
6.3 |
Step Functions |
27 |
2, 4, 10, 11, 15, 17, 20, 21, 23 |
6.4 |
ODEs with Discontinuous Forcing Functions |
28 |
2, 3, 5, 7, 9, 11 |
6.5 |
Impulse Functions |
29 |
1, 2, 5, 6, 9 |
11 |
6.6 |
The Convolution Integral |
30 |
4, 5, 6 |
6.6 |
Convolution, Continued |
31 |
8, 9, 10, 14, 18 |
7.1 |
Systems of First Order
Linear ODEs |
32 |
2, 4, 5, 7(a, b) |
12 |
|
Review of Linear Algebraic Equations, Eigenvalues and Eigenvectors (2x2) |
33 |
7.3: 16, 17, 18, 19 |
7.5 |
Homogeneous Linear Systems with Constant Coefficients |
34 |
2(a), 4(a), 7(a), 15, 16 |
7.6 |
Complex Eigenvalues |
35 |
2(a), 6(a), 10 |
13 |
7.6 |
Complex Eigenvalues, Continued |
36 |
13, 17, 28 |
|
Review for Exam 3 |
37 |
|
|
Common Exam 3, Wednesday, April 18, 2018 |
10.1 |
Two-Point Boundary Value Problems |
38 |
1, 3, 5, 10, 14, 15, 18 |
14 |
10.2 |
Fourier Series |
39 |
1, 5, 6, 7, 13, 15, 16 |
10.2 |
Fourier Series, Continued |
40 |
19(a, b), 20(a, b), 22(a, b) |
10.4 |
Even and Odd Functions |
41 |
2, 3, 4, 7, 9, 15, 16, 21, 23(a, b), 27(a, b) |
15 |
|
Review for Final Exam |
42 |
|